Finding the Fourth Proportional to 10,629.99, 14,669.38 and 5,914.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,629.99 : 14,669.38 = 5,914.27 : x
2. Step 2: Convert to fraction form
   10,629.99/14,669.38 = 5,914.27/x
3. Step 3: Cross multiply
   10,629.99x = 14,669.38 × 5,914.27
4. Step 4: Simplify right side
   10,629.99x = 86,758,699.78
5. Step 5: Solve for x
   x = 86,758,699.78/10,629.99
6. Step 6: Final answer
   x = 8,161.69